Chapter 11: Q. 55 (page 714)

The perimeter of a rectangular floor is 90 feet. Find the
dimensions of the floor if the length is twice the width.

Short Answer

Expert verified

The dimension of the rectangular floor is 30 feet , 15 feet

Step by step solution

Given information

Perimeter of rectangular floor is 90 feet and length is as twice as breadth

Write the formula for perimeter and simplify

Perimeter of rectangle can be given as $2 (l + b)$ Where $l = l e n g t h, b = b r e a d t h$

Hence

$2 (l + b) = 90 l + b = 45$ (1)

also we are given that length of the rectangle is as twice as breadth

hence $l = 2 b (2)$

Substituting 2 in 1 we get

$l + b = 45 2 b + b = 45 3 b = 45 b = 15 f e e t$

Now we find the length

$l = 2 b l = 2 (15) l = 30 f e e t$

Conclusion

The length and breadth of the rectangular floor is $30 f e e t, 15 f e e t$

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The perimeter of a rectangular floor is 90 feet. Find the
dimensions of the floor if the length is twice the width.

Short Answer

Step by step solution

Given information

Write the formula for perimeter and simplify

Conclusion

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The perimeter of a rectangular floor is 90 feet. Find thedimensions of the floor if the length is twice the width.

Short Answer

Step by step solution

Given information

Write the formula for perimeter and simplify

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Applied Mathematics

Probability and Statistics

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

The perimeter of a rectangular floor is 90 feet. Find the
dimensions of the floor if the length is twice the width.